Diagonalization of Hamiltonians for Many-Body Systems by Auxiliary Field Quantum Monte Carlo Technique

14 August 1995

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 75 (7) , 1284-1287
https://doi.org/10.1103/physrevlett.75.1284

Abstract

We propose a Monte Carlo method for solving the quantum many-body interacting systems. Mean fields dominating the structure of low-lying states are selected by a Monte Carlo method, which generates optimum many-body basis states for diagonalizing the Hamiltonian consisting of one- and two-body terms. Not only the ground state but also low-lying excited states are obtained with their wave functions. Results are examined by comparison to exact values.

Keywords

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